Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/51, 6/38, 83/25, 40/280 quickly i.e. 9960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/51, 6/38, 83/25, 40/280 is 9960.
LCM(8/51, 6/38, 83/25, 40/280) = 9960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/51,6/38,83/25,40/280
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 8,6,83,40
Least Common Multiple of Numerators i.e. LCM of 8,6,83,40 is 9960.
GCF of Denominators means GCF of 51,38,25,280 as per the given fractions.
GCF of 51,38,25,280 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,6,83,40
2 | 8, 6, 83, 40 |
2 | 4, 3, 83, 20 |
2 | 2, 3, 83, 10 |
1, 3, 83, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 3 x 83 x 5 = 9960
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 8,6,83,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,6,83,40) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(8,6,83,40) x common factors =1 x 16 = 16
LCM(8,6,83,40) = ( 8 × 6 × 83 × 40 ) / 16
LCM(8,6,83,40) = 159360 / 16
LCM(8,6,83,40) = 9960
Lets's calculate GCF of 51,38,25,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9960/1
Therefore the LCM of Fractions 8/51,6/38,83/25,40/280 is 9960
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 51,38,25,280 . The biggest common factor number is the GCF number.
So the greatest common factor 51,38,25,280 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 8/51, 6/38, 83/25, 40/280?
Answer: LCM of Numerators as per given numbers 8/51, 6/38, 83/25, 40/280 is
LCM of Numerators i.e. for 8,6,83,40 is 9960
GCF of denominators i.e. for 51,38,25,280 is 1.
Thus, LCM of Fractions is 9960.Finally, LCM of Fractions for 8/51, 6/38, 83/25, 40/280 is 9960.